A125154 The k-sequence associated with A125150.

0, 2, 1, 4, 3, 6, 9, 12, 10, 8, 25, 11, 16, 26, 7, 36, 5, 34, 27, 32, 37, 30, 47, 23, 40, 33, 21, 38, 43, 31, 48, 24, 29, 17, 46, 22, 39, 15, 44, 20, 49, 78, 13, 42, 18, 88, 35, 52, 93

Offset

1,2

Comments

A permutation of the nonnegative integers.

References

Clark Kimberling, Interspersions and fractal sequences associated with fractions (c^j)/(d^k), Journal of Integer Sequences 10 (2007, Article 07.5.1) 1-8.

Links

Table of n, a(n) for n=1..49.

Formula

This sequence k(m) is associated with the array T(2,3,0) at A125150 as follows: row m consists of numbers of the form Floor[(2^p)/(3^k)] for k=k(m).

Example

The pairs (j,k) for the first six rows are
(0,0), (5,2), (4,1), (9,4), (8,3), (13,6).
First term in row m is Floor[(2^j(m))/(3^k(m))],
so for m=1,2,3,4,5,6, the first 3 terms are
1=[(2^0)/(3^0)], 3=[(2^5)/(3^2)], 5=[(2^4)/(3^1)].

Crossrefs

Cf. A125150.

Sequence in context: A277376 A105361 A370728 * A281853 A077912 A077963

Adjacent sequences: A125151 A125152 A125153 * A125155 A125156 A125157

Keyword

nonn

Author

Clark Kimberling, Nov 21 2006

Status

approved